6969480338400 has 576 divisors, whose sum is σ = 23666325258240. Its totient is φ = 1779566745600.

The previous prime is 6969480338389. The next prime is 6969480338503. The reversal of 6969480338400 is 48330849696.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2969526027 + ... + 2969528373.

It is an arithmetic number, because the mean of its divisors is an integer number (41087370240).

Almost surely, 2^{6969480338400} is an apocalyptic number.

6969480338400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6969480338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11833162629120).

6969480338400 is an abundant number, since it is smaller than the sum of its proper divisors (16696844919840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6969480338400 is a wasteful number, since it uses less digits than its factorization.

6969480338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 6969480338400 in words is "six trillion, nine hundred sixty-nine billion, four hundred eighty million, three hundred thirty-eight thousand, four hundred".